Correction of Characteristics of Transverse Vibration Subsystems of Complex Mechanical or/and Mechatronic Systems

Abstract:

In this paper the application of analysis within transverse vibrating subsystem of complex or/and mechatronic systems by means of the exact and approximate methods were the main purposes of work. The second purpose - of the work was to solve the task of assignment of frequency-modal analysis within characteristics of mechatronic system. Classical and unclassical methods to solve this problem have been used to obtain the dynamical characteristics in the Gliwice research Centre. During the analysis of the diagrams of characteristics of confirmed system it has been determined that in case of approximate method the resonance frequencies cover with those which have been determined with exact method. However, the values of the characteristic in other areas are different. The main aim of this paper was to compare the transients of characteristics of mechanical subsystem within the transverse vibrating discrete – continuous mechatronic system, obtained by exact and approximate, that means Galerkins method and to answer to the question – if the method can be used to nominate the characteristics of mechatronic systems. The main subject of deliberation was to determine the flexibility of the mechanical system with constant cross section using the exact and Galerkin’s method. The problems presented in this paper, such as the analysis of subsystem of mechatronic and mechanical complex systems is however the introduction to the synthesis of transverse vibrating mechatronic systems with assumed frequency spectrum.

• Periodical: Solid State Phenomena (Volume 251)
• Pages: 188-193
• DOI: https://doi.org/10.4028/www.scientific.net/SSP.251.188
• Online since: July 2016
• Authors: Andrzej Buchacz
• Keywords: Approximate Method of Analysis, Dynamical Characteristics, Exact Method of Analysis, Modeling, Subsystem

References

[1] S. Bellert, H. Woźniacki: The analysis and synthesis of electrical systems by means of the method of structural numbers [in Polish], WNT, Warszawa, (1968).

[2] C. Berge: Graphs and hypergraphs. American Elsevier Publishing Co., Inc., New York/ North Holland Publishing Co., Amsterdam-London, (1973).

[3] K. Białas, A. Buchacz, T. Dzitkowski: Synthesis of active mechanical systems with dumping in view of polar graphs and structural numbers. Monograph No. 230. Silesian University of Technology Press, Gliwice 2009 (in Polish).

[4] A. Buchacz: Dynamical flexibility of discrete-continuous vibrating mechatronic system. Journal of Achievements in Materials and Manufacturing Engineering, International OCOSCO World Press 28, 2, January (2008) 159-166.

[5] A. Buchacz: Characteristics of discrete-continuous flexibly vibrating mechatronic system. Journal of Achievements in Materials and Manufacturing Engineering, International OCOSCO World Press 28, 1, May (2008) 43-46.

[6] A. Buchacz, A. Wróbel: Computer aided analysis of piezoelectric plates. Solid State Phenomena, Volume 164 (2010) - Mechatronic Systems and Materials: Mechatronic Systems and Robotics, 239-242.

DOI: 10.4028/www.scientific.net/ssp.164.239

[7] A. Buchacz: The Supply of Formal Notions to Synthesis of the Vibrating Discrete-Continuous Mechatronic Systems. Journal of Achievements in Materials and Manufacturing Engineering, International OCOSCO World Press, Vol. 44, Issue 2, February (2011).

[8] J. Callahan, H. Baruh: Vibration Monitoring of Cylindrical Shells Using Piezoelectric Sensors. Finite Elements in Analysis and Design 23 (1996), 303-318.

DOI: 10.1016/s0168-874x(96)80013-8

[9] W. Kurnik: Damping of Mechanical Vibrations Utilizing Shunted Piezoelements. Machine Dynamics Problems 2004, Vol. 28, No 4, 15-26.

[10] P. Lu, K. H. Lee, S. P. Lim: Dynamical Analysis of a Cylindrical Piezoelectric Transducer. Journal of Sound and Vibration (2003) 259(2), 427-443.

DOI: 10.1006/jsvi.2002.5223